Question

Tìm x biết: x+1/x-2=x-2/x-4

giúp mk vs, mk đag cần gấp

 

Answer 1

\(\frac{x+1}{x-2}=\frac{x-2}{x-4}\)

\(\Rightarrow\left(x+1\right)\left(x-4\right)=\left(x-2\right)\left(x-2\right)\)

\(\Rightarrow x^2-4x+x-4=x^2-2x-2x+4\)

\(\Rightarrow x^2-3x-4=x^2-4x+4\)

\(\Rightarrow-3x+4x=4+4\)

\(\Rightarrow x=8\)

Answer 2

Mơn nha..<3

Answer 3

x+1/x-2=x-2/x-4 <=>(x-2)^2=(x+1)(x-4)

<=>x^2 - 2.2x+2^2 = x^2 - 4+x-4

<=>4-4x=x-8

<=>5x=12

<=> x=12/5